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alexdok [17]
3 years ago
9

Tablets are on sale for 15% off original price with the function p(t)=0.85t

Mathematics
1 answer:
Len [333]3 years ago
4 0
The answer would be 45% there you go
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a washer has an outside radius of 6cm and a hole of radius 28cm. calculate the area of the face of the washer ( give your answer
Cerrena [4.2K]

Answer:

the area of face of washer is 22cm sq

4 0
2 years ago
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

8 0
2 years ago
Identify this conic section.
BaLLatris [955]
Solve for x or y or 1
solving for y
divide both sides by x
y=25/x
not a line because x has t ohave exponent of 1, this one is y=25x^-1

ok, solve for something else
solve for 1
xy/25=1
this doesn't fit into the standard forms of any of the conic sections
if we were to subsitute points we would see it is a hyperbola that is diagonal with the x and y axises as assemtots

it is a hyperbola
5 0
3 years ago
A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ro
Sever21 [200]

Answer:

<em>4,524 gallons</em>

Step-by-step explanation:

The volume of any cylinder is 

 π (radius)² (height) .

The pool's radius is 1/2 its diameter = 8 ft.  So its volume is

 π (8 ft)² (3 ft)

= π · (64 ft²) · (3 ft)

= π · 192 ft³

= 603.2 ft³ .

(603 ft³) · (7.5 gal / 1 ft³) = 4,524 gallons

Hope this helps :D

8 0
3 years ago
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Help me make math it is so hard
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Answer:

with what?

Step-by-step explanation:

7 0
2 years ago
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